Mason and Laney ran laps to train for the long-distance running team. The ratio of the number of laps Mason ran to the number of laps Laney ran was 2 to 3.a. If Mason ran 4 miles, how far did Laney run? Draw a tape diagram to demonstrate how you found the answer.b. If Laney ran 930 meters, how far did Mason run? Draw a tape diagram to determine how you found the answer.c. What ratios can we say are equivalent to 2: 3?

Answer:A. 6 milesB. 620 metersC. [tex]\dfrac{4}{6}\\ \\\dfrac{620}{930}\\ \\\dfrac{8}{12}[/tex]Step-by-step explanation:The ratio of the number of laps Mason ran to the number of laps Laney ran was 2 to 3.A.  If Mason ran 4 miles, then one lap is [tex]4:2=2[/tex] miles long and Laney ran [tex]2\cdot 3=6[/tex] miles. The diagram is attached.B. If Laney ran 930 meters, then one lap is [tex]930:3=310[/tex] meters long. Thus, Mason ran [tex]310\cdot 2=620[/tex] meters.The same diagram is true.C. Equivalent ratios ti the ratio 2:3 are[tex]\dfrac{4}{6}\\ \\\dfrac{620}{930}\\ \\\dfrac{8}{12}[/tex]